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Finding the Fourth Proportional to 6,431.19, 9,589.01 and 5,882.01

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Solution

The fourth proportional to 6,431.19, 9,589.01 and 5,882.01 is: 8,770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.19 : 9,589.01 = 5,882.01 : x
  2. Step 2: Convert to fraction form
    6,431.19/9,589.01 = 5,882.01/x
  3. Step 3: Cross multiply
    6,431.19x = 9,589.01 × 5,882.01
  4. Step 4: Simplify right side
    6,431.19x = 56,402,652.71
  5. Step 5: Solve for x
    x = 56,402,652.71/6,431.19
  6. Step 6: Final answer
    x = 8,770.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.